Question

*7. Ram is four years older than Shyam, Shyam is
seven years younger than Salman. The ratio of the
ages of Ram seven years ago and Salman five
years hence is 2:5. What will be the age of Shyam
after six years?
(1) 13 years (2) 15 years (3) 19 years
(4) 21 years (5) None of these​

Answer 1

Shayam's age$= \textrm{15 years}$

 Explanation:

Let, present age of Shayam is $\textrm{x years}$

So, present age of Ram is $(x + 4)years$

And present age of Salman is $(x + 7)$

Now, $\textrm{7 years}$ ago Shayam's and Salman's age ratio was $\frac{2}{5}$.

$\frac{x + 4 - 7}{x +7 - 7} = \frac{2}{5}$

$5x - 15 = 2x$

$x =\textrm{5 years}$

After $\textrm{6 years}$ Shyam's age is $(x + 4 + 6)$

Shayam's age $= 5 + 4 + 6 = \textrm{15 years}$

.

Answer 2

The age of Shyam  after six years is 19 years.

Step-by-step explanation:

Let the present age of Salman be x

Shyam is  seven years younger than Salman.

Shyam's present age = x-7

Ram is four years older than Shyam

So, Ram's present age = x-7+4=x-3

Ram's age 7 years ago = x-3-7 = x-10

Salman's age after 5 years = x+5

We are given that The ratio of the  ages of Ram seven years ago and Salman five  years hence is 2:5.

So, $\frac{x-10}{x+5}=\frac{2}{5}$

$5x-50=2x+10$

$5x-2x=50+10$

$3x=60$

$x=\frac{60}{3}\\x=20$

Shyam's present age = x-7

Shyam's age after 6 years = x-7+6=x-1 = 20-1 = 19 years

Hence the age of Shyam  after six years is 19 years.

#Learn more:

Present age of rohit is two times the present age of mohit if the sum of their present age is 36 years then find their present ages​

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